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Finding the Fourth Proportional to 259.52, 358.20 and 176.83

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Solution

The fourth proportional to 259.52, 358.20 and 176.83 is: 244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.52 : 358.20 = 176.83 : x
  2. Step 2: Convert to fraction form
    259.52/358.20 = 176.83/x
  3. Step 3: Cross multiply
    259.52x = 358.20 × 176.83
  4. Step 4: Simplify right side
    259.52x = 63,337.83
  5. Step 5: Solve for x
    x = 63,337.83/259.52
  6. Step 6: Final answer
    x = 244.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.